Izzo, Giuseppe; Jackiewicz, Zdzislaw Strong stability preserving Runge-Kutta and linear multistep methods. (English) Zbl 1505.65236 Bull. Iran. Math. Soc. 48, No. 6, 4029-4062 (2022). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Bull. Iran. Math. Soc. 48, No. 6, 4029--4062 (2022; Zbl 1505.65236) Full Text: DOI
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw Global error estimation for explicit second derivative general linear methods. (English) Zbl 1491.65060 Numer. Algorithms 90, No. 2, 833-850 (2022). MSC: 65L05 65L70 65L06 65L20 PDFBibTeX XMLCite \textit{A. Abdi} et al., Numer. Algorithms 90, No. 2, 833--850 (2022; Zbl 1491.65060) Full Text: DOI
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw Global error estimation for explicit general linear methods. (English) Zbl 1491.65059 Numer. Algorithms 89, No. 3, 1075-1093 (2022). MSC: 65L05 65L70 65L06 65L20 PDFBibTeX XMLCite \textit{A. Abdi} et al., Numer. Algorithms 89, No. 3, 1075--1093 (2022; Zbl 1491.65059) Full Text: DOI
Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław A new class of strong stability preserving general linear methods. (English) Zbl 1471.65081 J. Comput. Appl. Math. 396, Article ID 113612, 24 p. (2021). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{M. Braś} et al., J. Comput. Appl. Math. 396, Article ID 113612, 24 p. (2021; Zbl 1471.65081) Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Strong stability preserving implicit-explicit transformed general linear methods. (English) Zbl 1510.65144 Math. Comput. Simul. 176, 206-225 (2020). MSC: 65L06 34D20 65L20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Math. Comput. Simul. 176, 206--225 (2020; Zbl 1510.65144) Full Text: DOI
Braś, M.; Jackiewicz, Z. A new class of efficient general linear methods for ordinary differential equations. (English) Zbl 1439.65074 Appl. Numer. Math. 151, 282-300 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L05 65L04 65L20 PDFBibTeX XMLCite \textit{M. Braś} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 151, 282--300 (2020; Zbl 1439.65074) Full Text: DOI
Izzo, G.; Jackiewicz, Z. Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part. (English) Zbl 1416.65204 Numer. Algorithms 81, No. 4, 1343-1359 (2019). MSC: 65L06 65L03 65L20 65M20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Numer. Algorithms 81, No. 4, 1343--1359 (2019; Zbl 1416.65204) Full Text: DOI arXiv
Abdi, A.; Jackiewicz, Z. Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability. (English) Zbl 1405.65086 Appl. Numer. Math. 136, 103-121 (2019). MSC: 65L06 65L70 65L50 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{A. Abdi} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 136, 103--121 (2019; Zbl 1405.65086) Full Text: DOI
Califano, Giovanna; Izzo, Giuseppe; Jackiewicz, Zdzisław Strong stability preserving general linear methods with Runge-Kutta stability. (English) Zbl 1402.65065 J. Sci. Comput. 76, No. 2, 943-968 (2018). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{G. Califano} et al., J. Sci. Comput. 76, No. 2, 943--968 (2018; Zbl 1402.65065) Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Strong stability preserving transformed DIMSIMs. (English) Zbl 1524.65268 J. Comput. Appl. Math. 343, 174-188 (2018). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, J. Comput. Appl. Math. 343, 174--188 (2018; Zbl 1524.65268) Full Text: DOI
Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P. Error propagation for implicit-explicit general linear methods. (English) Zbl 1446.65036 Appl. Numer. Math. 131, 207-231 (2018). MSC: 65L05 65L04 65L20 65L70 PDFBibTeX XMLCite \textit{M. Braś} et al., Appl. Numer. Math. 131, 207--231 (2018; Zbl 1446.65036) Full Text: DOI
Jackiewicz, Z.; Mittelmann, H. Construction of IMEX DIMSIMs of high order and stage order. (English) Zbl 1372.65212 Appl. Numer. Math. 121, 234-248 (2017). MSC: 65L06 65L05 65L20 34A34 65L04 PDFBibTeX XMLCite \textit{Z. Jackiewicz} and \textit{H. Mittelmann}, Appl. Numer. Math. 121, 234--248 (2017; Zbl 1372.65212) Full Text: DOI
Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno Order reduction phenomenon for general linear methods. (English) Zbl 1368.65111 Appl. Numer. Math. 119, 94-114 (2017). MSC: 65L06 65L05 34A34 65L20 65L04 PDFBibTeX XMLCite \textit{M. Braś} et al., Appl. Numer. Math. 119, 94--114 (2017; Zbl 1368.65111) Full Text: DOI
Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability. (English) Zbl 1366.65070 J. Sci. Comput. 70, No. 3, 1105-1143 (2017). MSC: 65L06 65L05 34A34 65L20 65L04 PDFBibTeX XMLCite \textit{M. Braś} et al., J. Sci. Comput. 70, No. 3, 1105--1143 (2017; Zbl 1366.65070) Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Generalized linear multistep methods for ordinary differential equations. (English) Zbl 1357.65097 Appl. Numer. Math. 114, 165-178 (2017). MSC: 65L06 65L05 34A34 65L20 65L04 65L70 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 114, 165--178 (2017; Zbl 1357.65097) Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Strong stability preserving multistage integration methods. (English) Zbl 1488.65175 Math. Model. Anal. 20, No. 5, 552-577 (2015). MSC: 65L06 65L20 65L99 65M20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Math. Model. Anal. 20, No. 5, 552--577 (2015; Zbl 1488.65175) Full Text: DOI
Zhang, Hong; Sandu, Adrian; Jackiewicz, Zdzisław; Cardone, Angelamaria Construction of highly stable implicit-explicit general linear methods. (English) Zbl 1335.65060 Discrete Contin. Dyn. Syst. 2015, Suppl., 185-194 (2015). MSC: 65L06 65L05 65L20 34A34 65L04 PDFBibTeX XMLCite \textit{H. Zhang} et al., Discrete Contin. Dyn. Syst. 2015, 185--194 (2015; Zbl 1335.65060) Full Text: DOI
Izzo, Giuseppe; Jackiewicz, Zdzislaw Strong stability preserving general linear methods. (English) Zbl 1329.65164 J. Sci. Comput. 65, No. 1, 271-298 (2015). MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, J. Sci. Comput. 65, No. 1, 271--298 (2015; Zbl 1329.65164) Full Text: DOI
Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno Order conditions for general linear methods. (English) Zbl 1330.65103 J. Comput. Appl. Math. 290, 44-64 (2015). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., J. Comput. Appl. Math. 290, 44--64 (2015; Zbl 1330.65103) Full Text: DOI
Braś, Michał; Jackiewicz, Zdzisław Efficient general linear methods of high order with inherent quadratic stability. (English) Zbl 1488.65173 Math. Model. Anal. 19, No. 4, 450-468 (2014). MSC: 65L06 65L05 65L20 PDFBibTeX XMLCite \textit{M. Braś} and \textit{Z. Jackiewicz}, Math. Model. Anal. 19, No. 4, 450--468 (2014; Zbl 1488.65173) Full Text: DOI
Braś, M.; Jackiewicz, Z. Search for efficient general linear methods for ordinary differential equations. (English) Zbl 1301.65060 J. Comput. Appl. Math. 262, 180-192 (2014). MSC: 65L05 65L20 65L06 PDFBibTeX XMLCite \textit{M. Braś} and \textit{Z. Jackiewicz}, J. Comput. Appl. Math. 262, 180--192 (2014; Zbl 1301.65060) Full Text: DOI
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong Extrapolation-based implicit-explicit general linear methods. (English) Zbl 1291.65217 Numer. Algorithms 65, No. 3, 377-399 (2014). MSC: 65L06 65L05 65L04 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{A. Cardone} et al., Numer. Algorithms 65, No. 3, 377--399 (2014; Zbl 1291.65217) Full Text: DOI arXiv
Izzo, Giuseppe; Jackiewicz, Zdzislaw Construction of algebraically stable dimsims. (English) Zbl 1278.65108 J. Comput. Appl. Math. 261, 72-84 (2014). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{G. Izzo} and \textit{Z. Jackiewicz}, J. Comput. Appl. Math. 261, 72--84 (2014; Zbl 1278.65108) Full Text: DOI
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Mittelmann, Hans Optimization-based search for Nordsieck methods of high order with quadratic stability polynomials. (English) Zbl 1260.65063 Math. Model. Anal. 17, No. 3, 293-308 (2012). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., Math. Model. Anal. 17, No. 3, 293--308 (2012; Zbl 1260.65063) Full Text: DOI
Bartoszewski, Zbigniew; Jackiewicz, Zdzisław Explicit Nordsieck methods with extended stability regions. (English) Zbl 1246.65119 Appl. Math. Comput. 218, No. 10, 6056-6066 (2012). MSC: 65L06 65L05 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{Z. Bartoszewski} and \textit{Z. Jackiewicz}, Appl. Math. Comput. 218, No. 10, 6056--6066 (2012; Zbl 1246.65119) Full Text: DOI
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. (English) Zbl 1246.65109 Math. Model. Anal. 17, No. 1, 65-77 (2012). Reviewer: Yajuan Sun (Beijing) MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{D. Conte} et al., Math. Model. Anal. 17, No. 1, 65--77 (2012; Zbl 1246.65109) Full Text: DOI
Cardone, Angelamaria; Jackiewicz, Zdzislaw Explicit Nordsieck methods with quadratic stability. (English) Zbl 1247.65104 Numer. Algorithms 60, No. 1, 1-25 (2012). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L20 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{A. Cardone} and \textit{Z. Jackiewicz}, Numer. Algorithms 60, No. 1, 1--25 (2012; Zbl 1247.65104) Full Text: DOI
Jackiewicz, Zdzisław General linear methods for ordinary differential equations. (English) Zbl 1211.65095 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-40855-1/hbk; 978-0-470-52216-5/ebook). xv, 482 p. (2009). Reviewer: R. K. Mohanty (Delhi) MSC: 65L06 34-01 65-02 34A34 65L05 65L20 65L70 65L60 65L50 PDFBibTeX XMLCite \textit{Z. Jackiewicz}, General linear methods for ordinary differential equations. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1211.65095) Full Text: DOI
Burrage, K.; Jackiewicz, Z.; Welfert, B. D. Spectral approximation of time windows in the solution of dissipative linear differential equations. (English) Zbl 1195.65091 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1-2, 41-64 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L05 34A30 35K20 65M20 PDFBibTeX XMLCite \textit{K. Burrage} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1--2, 41--64 (2009; Zbl 1195.65091)
Butcher, J. C.; Jackiewicz, Z.; Wright, W. M. Error propagation of general linear methods for ordinary differential equations. (English) Zbl 1131.65068 J. Complexity 23, No. 4-6, 560-580 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L70 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} et al., J. Complexity 23, No. 4--6, 560--580 (2007; Zbl 1131.65068) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. Unconditionally stable general linear methods for ordinary differential equations. (English) Zbl 1066.65078 BIT 44, No. 3, 557-570 (2004). MSC: 65L20 65L06 65L05 34A34 65L70 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{Z. Jackiewicz}, BIT 44, No. 3, 557--570 (2004; Zbl 1066.65078) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. Construction of general linear methods with Runge-Kutta stability properties. (English) Zbl 1055.65083 Numer. Algorithms 36, No. 1, 53-72 (2004). Reviewer: J. D. P. Donnelly (Oxford) MSC: 65L06 65L20 65L05 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{Z. Jackiewicz}, Numer. Algorithms 36, No. 1, 53--72 (2004; Zbl 1055.65083) Full Text: DOI
Jackiewicz, Z.; Welfert, B. D.; Zubik-Kowal, B. Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods. (English) Zbl 1047.65092 J. Sci. Comput. 20, No. 1, 1-28 (2004). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35L05 65M12 65L06 65F10 65Y05 PDFBibTeX XMLCite \textit{Z. Jackiewicz} et al., J. Sci. Comput. 20, No. 1, 1--28 (2004; Zbl 1047.65092) Full Text: DOI
Jackiewicz, Z.; Welfert, B. D. Stability of Gauss-Radau pseudospectral approximations of the one-dimensional wave equation. (English) Zbl 1024.65094 J. Sci. Comput. 18, No. 2, 287-313 (2003). MSC: 65M70 35L05 65M12 PDFBibTeX XMLCite \textit{Z. Jackiewicz} and \textit{B. D. Welfert}, J. Sci. Comput. 18, No. 2, 287--313 (2003; Zbl 1024.65094) Full Text: DOI
Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D. Acceleration of convergence of static and dynamic iterations. (English) Zbl 0992.65077 BIT 41, No. 4, 645-655 (2001). MSC: 65L05 34A30 65F10 PDFBibTeX XMLCite \textit{K. Burrage} et al., BIT 41, No. 4, 645--655 (2001; Zbl 0992.65077) Full Text: DOI
Augustynowicz, Andrzej; Jackiewicz, Zdzisław Frequency analysis of preconditioned waveform relaxation iterations. (English) Zbl 0998.65082 Appl. Math. 26, No. 2, 229-242 (1999). MSC: 65L70 65L05 65F35 65F10 34A30 65L20 34K05 65M20 PDFBibTeX XMLCite \textit{A. Augustynowicz} and \textit{Z. Jackiewicz}, Appl. Math. 26, No. 2, 229--242 (1999; Zbl 0998.65082) Full Text: DOI EuDML
Jackiewicz, Z.; Owren, B.; Welfert, B. Pseudospectra of wave from relaxation operators. (English) Zbl 0932.65080 Comput. Math. Appl. 36, No. 8, 67-85 (1998). MSC: 65L05 34A30 65L20 PDFBibTeX XMLCite \textit{Z. Jackiewicz} et al., Comput. Math. Appl. 36, No. 8, 67--85 (1998; Zbl 0932.65080) Full Text: DOI
Burrage, K.; Jackiewicz, Z.; Welfert, B. Block-Toeplitz preconditioning for static and dynamic linear systems. (English) Zbl 0938.65147 Linear Algebra Appl. 279, No. 1-3, 51-74 (1998). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65P10 65Y05 37M15 65F10 65F35 PDFBibTeX XMLCite \textit{K. Burrage} et al., Linear Algebra Appl. 279, No. 1--3, 51--74 (1998; Zbl 0938.65147) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z.; Mittelmann, H. D. A nonlinear optimization approach to the construction of general linear methods of high order. (English) Zbl 0879.65051 J. Comput. Appl. Math. 81, No. 2, 181-196 (1997). Reviewer: T.E.Simos (Xanthi) MSC: 65L06 34A34 65L05 65L20 PDFBibTeX XMLCite \textit{J. C. Butcher} et al., J. Comput. Appl. Math. 81, No. 2, 181--196 (1997; Zbl 0879.65051) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations. (English) Zbl 0865.65056 Appl. Numer. Math. 21, No. 4, 385-415 (1996). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 34A34 65L20 34E13 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 21, No. 4, 385--415 (1996; Zbl 0865.65056) Full Text: DOI
Jackiewicz, Z.; Tracogna, S. A general class of two-step Runge-Kutta methods for ordinary differential equations. (English) Zbl 0837.65074 SIAM J. Numer. Anal. 32, No. 5, 1390-1427 (1995). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 34A30 65L20 PDFBibTeX XMLCite \textit{Z. Jackiewicz} and \textit{S. Tracogna}, SIAM J. Numer. Anal. 32, No. 5, 1390--1427 (1995; Zbl 0837.65074) Full Text: DOI
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M. Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations. (English) Zbl 0822.65049 Appl. Numer. Math. 16, No. 3, 343-367 (1995). Reviewer: H.Brunner (St.John’s) MSC: 65L06 65L20 65L50 65L05 34A34 PDFBibTeX XMLCite \textit{Z. Jackiewicz} et al., Appl. Numer. Math. 16, No. 3, 343--367 (1995; Zbl 0822.65049) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. Diagonally implicit general linear methods for ordinary differential equations. (English) Zbl 0795.65043 BIT 33, No. 3, 452-472 (1993). Reviewer: E.Schechter (Kaiserslautern) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{Z. Jackiewicz}, BIT 33, No. 3, 452--472 (1993; Zbl 0795.65043) Full Text: DOI
Bakke, V. L.; Jackiewicz, Z. Stability analysis of linear multistep methods for delay differential equations. (English) Zbl 0622.65057 Int. J. Math. Math. Sci. 9, 447-458 (1986). Reviewer: P.Chocholatý MSC: 65L05 65L20 34K05 PDFBibTeX XMLCite \textit{V. L. Bakke} and \textit{Z. Jackiewicz}, Int. J. Math. Math. Sci. 9, 447--458 (1986; Zbl 0622.65057) Full Text: DOI EuDML
Jackiewicz, Z.; Kwapisz, M. The numerical solution of Volterra integro-functional equations. (English) Zbl 0532.65092 Functional differential systems and related topics, Proc. 2nd int. Conf., Błażejewko/Pol. 1981, 141-146 (1981). MSC: 65R20 45J05 45G10 PDFBibTeX XML